Abstract
We use GRUMPY, a simple regulator-type model for dwarf galaxy
formation and evolution, to forward model dwarf galaxy satellite population of
the Milky Way (MW) using the Caterpillar zoom-in simulation suite. We show that
luminosity and distance distributions of the model satellites are consistent
with the distributions measured in the DES, PS1 and SDSS surveys, even without
including a model for the orphan galaxies. We also show for the first time that
our model for dwarf galaxy sizes can reproduce both the observed ıt
distribution of stellar half-mass radii, $r_1/2$, of the MW satellites and
the overall $r_1/2-M_\star$ relation exhibited by observed dwarf galaxies.
The model predicts that some of the observed faint stellar systems with
$r_1/2<10$ pc are ultra-faint dwarf galaxies. Scaling of the stellar mass
$M_\star$ and peak halo mass $M_peak$ for the model satellites is not
described by a power law, but has a clear flattening of $M_\star-M_peak$
scaling at $M_peak<10^8\,M_ødot$ imprinted by reionization. As a result,
the fraction of low mass haloes ($M_peak < 10^8 M_ødot$) hosting
galaxies with $M_V<0$ is predicted to be 50\% at $M_peak 3.6 \times
10^7\,M_ødot$. We find that such high fraction at that halo mass is in fact
required to explain the number of dwarf galaxies discovered recently in the
HSC-SSP survey. Using the model we forecast that there should be the total of
$440^+201_-147$ MW satellites with $M_V < 0$ and $r_1/2 > 10$ pc within
300 kpc and make specific predictions for the HSC-SSP, DELVE-WIDE and LSST
surveys.
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